Elastic model of paper stacks by considering the paper structure
Jian Chen, Edgar Dörsam, Dieter Spiehl and Arash Hakimi Tehrani, Technische Universität Darmstadt, Darmstadt, Germany
In this paper, the loading force-deformation behavior of paper and paper stacks in the out-of-plane direction is investigated in detail. According to the common literature, the paper is regarded as an elastic material, the paper body is divided into two surface structures and one internal structure. For a given total deformation, the deformations of the surface structure can be calculated by using the Newton-Raphson method. The cubic curve fitting method for calculating the relationship between surface deformation and total deformation is proposed and compared with the linear curve fitting method. Based on the model of one sheet, a new model for calculating the force-deformation relationship of multiple sheets is proposed. Both of the calculated results of the linear and cubic curve fitting methods are compared with experimental results. Then, the deviations of the deformations under different forces will be calculated. The comparative analysis of the experimental results demonstrates the effectiveness of the proposed model and its usability to describe the force-deformation behavior of paper.
Compression curve, Elastic model, Loading process, Out-of-plane (ZD) direction, Paper and Paper stacks
Nordic Pulp & Paper Research Journal (NPPRJ) is an international scientific magazine covering science and technology for the areas of wood or bio-mass constituents, pulp and paper and including new fiber-based materials, recovery and by-products from pulping processes, bio-refining and energy issues. Articles meeting required scientific standards are accepted from any continent. Open Access: Articles not available through Gold Open Access may be purchased by credit card as a pdf file, to be downloaded within 24 h after ordering, at a price of 22 EUR per article. (Value added tax may apply depending on your location, which you enter at payment logout.) Such articles have Green Open Access, i.e. authors may share articles on their personal non-commerical homepage immediately after publication on the website and download them to non-commercial hosting platforms one year after publication in a full issue of NPPRJ. ISSN: 0283-2631